3 papers
math.PR2025
Singular values of sparse random rectangular matrices: Emergence of outliers at criticality
Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang +1
Consider the random bipartite Erdős-Rényi graph , where each edge with one vertex in and the other vertex in is connected with probabi…
math.PR2025
Spectra of high-dimensional sparse random geometric graphs
Yifan Cao, Yizhe Zhu
We determine the limiting empirical spectral distribution of sparse high-dimensional random geometric graphs. The vertices are independent uniform points on the unit sphere $S^{d-1…
stat.ML2024
Universality of Kernel Random Matrices and Kernel Regression in the Quadratic Regime
Parthe Pandit, Zhichao Wang, Yizhe Zhu
Kernel ridge regression (KRR) is a popular class of machine learning models that has become an important tool for understanding deep learning. Much of the focus thus far has been o…